{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---\n",
    "\n",
    "#  mplfinance: using lines for trends, support, resistance, and trading\n",
    "\n",
    "---"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Sometimes it is convenient to draw straight lines ontop of an ohlc or candlestick chart, for example:\n",
    "- Horizontal lines to mark levels of support and resistance\n",
    "- Vertical lines to indicate the start or end of trading sessions, or to indicate the time or date when a trade took place.\n",
    "- Trend lines to highlight a trend in the movement of prices.\n",
    "\n",
    "#### `mpf.plot()` supports the drawing of straight lines on top of an ohlc or candlestick chart using one or more of the following four kwargs:\n",
    "\n",
    "| keyword | argument value | action |\n",
    "|:---|:---|:---|\n",
    "| **`hlines`** | price, or sequence of prices | draw horizontal line(s) at a specified price level(s). |\n",
    "| **`vlines`** | date[time], or sequence of date[time] | draw vertical line(s) at a specified date(s) or time(s). |\n",
    "| **`alines`** | a sequence of two or more date/price pairs, or<br> a sequence of sequences of two or more date/price pairs | draw an arbitrary line by specifying two or more x,y pairs,<br>for example: (dateA,priceA),(dateB,priceB) to draw a line from point (dateA,priceA) to point (dateB,priceB).<br>this may be done for various reasons, including highlighting trends. |\n",
    "| **`tlines`** | a list of one or more pairs of date[time]s | - calculate and draw a trend line between each date[time] in each date[time] pair<br>- value used at each date[time] may be open ,close, high, low,<br>&nbsp;&nbsp;&nbsp;or the average of any combination thereof<br>- trend line calculation method may be:<br>&nbsp;&nbsp;&nbsp;&nbsp;- a simple 'point-to-point' (from value at one date[time] to value at the other date[time]), or<br>  &nbsp;&nbsp;&nbsp;&nbsp;- linear 'least-squares' fit of all values from one date[time] through and including the other date[time]. |\n",
    "\n",
    "---\n",
    "In every case, the kwarg argument value may be either as specified in the above table<br>**OR the argument may be a dict** containing the above mentioned keyword and argument as specified above,<br> **plus** any or all of the following keywords to modify the line(s) being drawn:\n",
    "\n",
    "- `colors`\n",
    "- `linestyle`\n",
    "- `linewidths`\n",
    "- `alpha`\n",
    "\n",
    "For example, both of the following are valid specifications for `hlines`:\n",
    "- `hlines=(123.0,128.0)`\n",
    "- `hlines=dict( hlines=(123.0,128.0),colors=['r','g','b'],linestyle='dotted',linewidths=(3,4) )`\n",
    "\n",
    "---\n",
    "\n",
    "### See below for specific example usage of each of the kwargs:<br>&nbsp;&nbsp;`hlines`, `vlines`, `alines`, and `tlines`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "# This allows multiple outputs from a single jupyter notebook cell:\n",
    "from IPython.core.interactiveshell import InteractiveShell\n",
    "InteractiveShell.ast_node_interactivity = \"all\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import pandas as pd"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Read in daily data for the S&P 500 from November of 2019 "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(20, 5)"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Open</th>\n",
       "      <th>High</th>\n",
       "      <th>Low</th>\n",
       "      <th>Close</th>\n",
       "      <th>Volume</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Date</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2019-11-01</th>\n",
       "      <td>3050.72</td>\n",
       "      <td>3066.95</td>\n",
       "      <td>3050.72</td>\n",
       "      <td>3066.91</td>\n",
       "      <td>510301237</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2019-11-04</th>\n",
       "      <td>3078.96</td>\n",
       "      <td>3085.20</td>\n",
       "      <td>3074.87</td>\n",
       "      <td>3078.27</td>\n",
       "      <td>524848878</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "               Open     High      Low    Close     Volume\n",
       "Date                                                     \n",
       "2019-11-01  3050.72  3066.95  3050.72  3066.91  510301237\n",
       "2019-11-04  3078.96  3085.20  3074.87  3078.27  524848878"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Open</th>\n",
       "      <th>High</th>\n",
       "      <th>Low</th>\n",
       "      <th>Close</th>\n",
       "      <th>Volume</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Date</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2019-11-27</th>\n",
       "      <td>3145.49</td>\n",
       "      <td>3154.26</td>\n",
       "      <td>3143.41</td>\n",
       "      <td>3153.63</td>\n",
       "      <td>421853938</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2019-11-29</th>\n",
       "      <td>3147.18</td>\n",
       "      <td>3150.30</td>\n",
       "      <td>3139.34</td>\n",
       "      <td>3140.98</td>\n",
       "      <td>286602291</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "               Open     High      Low    Close     Volume\n",
       "Date                                                     \n",
       "2019-11-27  3145.49  3154.26  3143.41  3153.63  421853938\n",
       "2019-11-29  3147.18  3150.30  3139.34  3140.98  286602291"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "daily = pd.read_csv('data/SP500_NOV2019_Hist.csv',index_col=0,parse_dates=True)\n",
    "daily.index.name = 'Date'\n",
    "daily.shape\n",
    "daily.head(2)\n",
    "daily.tail(2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'0.12.5a0'"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import mplfinance as mpf\n",
    "mpf.__version__"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---\n",
    "## hlines (horizontal lines)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**We can plot horizontal lines to show support and resistance:**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 800x575 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mpf.plot(daily,hlines=[3080,3121])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---\n",
    "\n",
    "**We can color the lines, and modify the line style:**\n",
    "\n",
    "(works with candlesticks too)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 800x575 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 800x575 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mpf.plot(daily,hlines=dict(hlines=[3080,3121],colors=['g','r'],linestyle='-.'))\n",
    "mpf.plot(daily,hlines=dict(hlines=[3080,3121],colors=['g','r'],linestyle='-.'),type='candle')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---\n",
    "\n",
    "## vlines (vertical lines)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---\n",
    "\n",
    "**We can use vertical lines to indicate days on which we made a trade:**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 800x575 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mpf.plot(daily,type='candle',vlines=dict(vlines=['2019-11-06','2019-11-15','2019-11-25'],linewidths=(1,2,3)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---\n",
    "\n",
    "**we can also use a thick, but transparent (alpha=0.4), line to shade a portion of the plot:**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 800x575 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mpf.plot(daily,type='candle',vlines=dict(vlines='2019-11-18',linewidths=125,alpha=0.4))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---\n",
    "\n",
    "**Another use for vertical lines is to show the start of each trading day for intraday data:**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(1563, 5)"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
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       "        vertical-align: middle;\n",
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       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Open</th>\n",
       "      <th>Close</th>\n",
       "      <th>High</th>\n",
       "      <th>Low</th>\n",
       "      <th>Volume</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Date</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2019-11-05 09:30:00</th>\n",
       "      <td>3080.80</td>\n",
       "      <td>3080.49</td>\n",
       "      <td>3081.47</td>\n",
       "      <td>3080.30</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2019-11-05 09:31:00</th>\n",
       "      <td>3080.33</td>\n",
       "      <td>3079.36</td>\n",
       "      <td>3080.33</td>\n",
       "      <td>3079.15</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                        Open    Close     High      Low  Volume\n",
       "Date                                                           \n",
       "2019-11-05 09:30:00  3080.80  3080.49  3081.47  3080.30       0\n",
       "2019-11-05 09:31:00  3080.33  3079.36  3080.33  3079.15       0"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
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       "\n",
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       "        text-align: right;\n",
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       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Open</th>\n",
       "      <th>Close</th>\n",
       "      <th>High</th>\n",
       "      <th>Low</th>\n",
       "      <th>Volume</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Date</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2019-11-08 15:58:00</th>\n",
       "      <td>3090.73</td>\n",
       "      <td>3091.04</td>\n",
       "      <td>3091.13</td>\n",
       "      <td>3090.58</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2019-11-08 15:59:00</th>\n",
       "      <td>3091.16</td>\n",
       "      <td>3092.91</td>\n",
       "      <td>3092.91</td>\n",
       "      <td>3090.96</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                        Open    Close     High      Low  Volume\n",
       "Date                                                           \n",
       "2019-11-08 15:58:00  3090.73  3091.04  3091.13  3090.58       0\n",
       "2019-11-08 15:59:00  3091.16  3092.91  3092.91  3090.96       0"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "idf = pd.read_csv('./data/SP500_NOV2019_IDay.csv',index_col=0,parse_dates=True)\n",
    "idf.shape\n",
    "idf.head(2)\n",
    "idf.tail(2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 800x575 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 800x575 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "vls=['2019-11-05 09:30',\n",
    "     '2019-11-06 09:30',\n",
    "     '2019-11-07 09:30',\n",
    "     '2019-11-08 09:30']\n",
    "mpf.plot(idf,vlines=dict(vlines=vls,colors=('r','g','b','c')))  # different color for each line\n",
    "mpf.plot(idf,vlines=dict(vlines=vls,colors='c'))                # one color for all lines"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---\n",
    "\n",
    "## alines (arbitrary lines)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "**We can use a sequence of \"points\" to draw arbitrary lines,<br>where a \"point\" is a (date,price) pair:**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(33, 6)"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Open</th>\n",
       "      <th>High</th>\n",
       "      <th>Low</th>\n",
       "      <th>Close</th>\n",
       "      <th>Adj Close</th>\n",
       "      <th>Volume</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Date</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2016-05-02</th>\n",
       "      <td>206.919998</td>\n",
       "      <td>208.179993</td>\n",
       "      <td>206.410004</td>\n",
       "      <td>207.970001</td>\n",
       "      <td>200.745285</td>\n",
       "      <td>62188000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2016-05-03</th>\n",
       "      <td>206.520004</td>\n",
       "      <td>206.800003</td>\n",
       "      <td>205.279999</td>\n",
       "      <td>206.160004</td>\n",
       "      <td>198.998154</td>\n",
       "      <td>106422100</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                  Open        High         Low       Close   Adj Close  \\\n",
       "Date                                                                     \n",
       "2016-05-02  206.919998  208.179993  206.410004  207.970001  200.745285   \n",
       "2016-05-03  206.520004  206.800003  205.279999  206.160004  198.998154   \n",
       "\n",
       "               Volume  \n",
       "Date                   \n",
       "2016-05-02   62188000  \n",
       "2016-05-03  106422100  "
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Open</th>\n",
       "      <th>High</th>\n",
       "      <th>Low</th>\n",
       "      <th>Close</th>\n",
       "      <th>Adj Close</th>\n",
       "      <th>Volume</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Date</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2016-06-15</th>\n",
       "      <td>208.039993</td>\n",
       "      <td>209.360001</td>\n",
       "      <td>207.529999</td>\n",
       "      <td>207.750000</td>\n",
       "      <td>200.532928</td>\n",
       "      <td>109124500</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2016-06-16</th>\n",
       "      <td>207.750000</td>\n",
       "      <td>208.570007</td>\n",
       "      <td>205.589996</td>\n",
       "      <td>208.369995</td>\n",
       "      <td>201.131378</td>\n",
       "      <td>149533100</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                  Open        High         Low       Close   Adj Close  \\\n",
       "Date                                                                     \n",
       "2016-06-15  208.039993  209.360001  207.529999  207.750000  200.532928   \n",
       "2016-06-16  207.750000  208.570007  205.589996  208.369995  201.131378   \n",
       "\n",
       "               Volume  \n",
       "Date                   \n",
       "2016-06-15  109124500  \n",
       "2016-06-16  149533100  "
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df = pd.read_csv('./data/yahoofinance-SPY-20080101-20180101.csv',index_col=0,parse_dates=True)\n",
    "df = df.loc['2016-05-01':'2016-06-16',:]\n",
    "df.shape\n",
    "df.head(2)\n",
    "df.tail(2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 800x575 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mpf.plot(df)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---\n",
    "\n",
    "**We can draw an arbitrary line by specifying sequence of two or more points:**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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ATOqW5V8q9tGN3m4GAD/BnD4A8AG3LP/yirdxOBxFfjyxPznN+bM36URpmwnAxOjpAwA/UZYh2sJnt7Db7Tp0PL08mgTAROjpAwAAsAB6+gDAhHq98JnH2+xPTnP+7nA41DY+pjybBHjcC8xR4eZC6AMAH/DBuA5XvE3hIdrCSvqwvdRtgfLEUeHmQugDAD9XUo8fc/ZgFQ6Hwxk+9yenWfoLD6EPAHwAvXXwRUw5MBdCHwCYTPH5fEcX3662i11v525v3d6kEwREeAX7nbkQ+gDAz9ntdj58ARD6AMAX0FsHoKwIfQDgA+ituzwWlAaujMWZAcBESprPBwDlgdAHACg3drtdh39Ml2EYbvVMluV8wQA8w/AuAMBrWLwXqDz09AGASZTm1GsA4C56+gDApD4Y10EtS1ifz5+weC9QeQh9AACv4YhkoPIwvAsAAGABhD4AMAHm8wGoaIQ+ADChbRO6ersJAPwMc/oAwA9xhgoAxdHTBwAAYAGEPgDwsuLz+RjaBVARGN4FAJgCQ9JAxSL0AQAsjbAJq2B4FwAAwAIIfQDgRcznA1BZCH0AAAAWQOgDAACwAEIfAHhJSadeczgcRX4AXHxdNGsQLZvNxuuiDDh6FwBMYtuErmreMNrbzQDgp+jpAwAAsAB6+gDARPYnpzl/dzgcahsf48XWAPAnhD4A8IKS5vNJFxcKBoCKwPAuAJgA6/MBqGiEPgAAgBI4HA41bxit5g2j/eKoYUIfUA787Y0BAOB/mNMHFHOp0MZcK5QXTr0GqyvpfZb32IpH6AOKadm0domXHzqeXsktAQD/VNJR6bzHVjyGd4H/KRiiBQDAH9HTB5Rgb9IJhhoAoIL44nusPwxJE/qAEtjtdp97McM3MJ8P8M33WH8YkmZ4FwAAwALo6QMAABXObrf7XM9YYb44JF0coQ8AKsmlTr0GwPx8cUi6OIZ3AcBLmM8HoDIR+gAAACyA0AcAFajwKfoAwJsIfQBQCWIf3ejtJgCwuHINfTk5OeV5dwDgt5jPB6CylSn05efna+3atRo+fLiuvfZatW/f3nndlClTlJaWVuYG4uLwULMG0bLZbCWuCA4AAHAlpV6y5cKFCxo7dqx2794tSTIMQzabTZKUmZmpTZs26ZtvvtHatWtVq1Ytj+9/3bp1SkxM1LFjxxQVFaWuXbvq4YcfVo0aNSRJBw8e1OLFi/X1119Lkq677jpNnz5dzZo1c95HamqqlixZot27d+v06dOKiYnRiBEjNGzYMGdbAQAArKDUPX0vv/yyvvrqK0lSu3btiqxdk5WVpSpVqujnn3/WSy+95PF9r1y5UrNnz9aAAQO0YcMGzZkzRzt27NDEiRNlGIbS09M1YsQISdKaNWuUmJiowMBAjRw5Ur/99puzDaNGjdLRo0e1dOlSbd68WaNGjdKTTz6plStXlvZpA4DHmM8HwAxKHfo2b94sm82mZcuWac2aNQoLC3NeV6tWLb3++usyDEOffPKJR/drGIZWrFihgQMHavTo0YqNjVX37t310EMP6euvv1ZSUpJWrVql8+fPa8mSJYqPj9fVV1+txYsXKyMjQ6tXr5Yk7d69W0ePHtWjjz6qhIQENWrUSEOHDlXXrl21YcOG0j5tACgz5vMBpedwOFx+rnQbXFTq4d2ff/5ZVapU0c0331zi9e3atVNISIjH8/psNps2btyowMDAIpfXqVNH0sWh4507dyohIUGRkZHO6yMjI9WuXTt9+umnGjdunPPygICiuTY4ONij9gAAgMpXOKwV/r1NXIzLbYuf3q1l09oV1zAfVurQFxYWpl9//VVpaWmqXdu1uN9//73Onz9fJJi5KyoqyuWybdu2KTQ0VHFxcUpJSVGfPn1cbhMbG6utW7dKkjp16qQmTZro+eef17PPPqvq1avr888/12effabp06df8rFttos/ZlK4Pbm5rt9YfP20MOWtoF6e/h8L397T/aAs23pTaWtlReWxX13usitty37ln6jVpXkS3Dx5TfnTe7un7Sl16Gvfvr0+/vhjPfDAAxo1apRyc3MlSZ9++qkOHDig119/XTabTW3atCntQzh99NFHWrt2rSZNmqSIiAhlZmYWGU4uEB4eroyMDEkXe/T+/ve/a/z48erSpYuCgoKUl5enSZMmaejQoZd8rCb1o0q8b28q/A3n6qtcv+EYhlGZzfEZTeq7fnm4nMJ1bhoT5VGYLsu2ZuBprazM01o1nr6pyN9HFvV1e1v2K+ugVu7LzMx0eS0U/7vwEnIOh8P5ue5v7+2ZmZ61p9Sh7/7779enn36qpKQkzZgxw3l5wdCqYRgKCAjQ2LFjS/sQkqT3339f06ZNU79+/YoM217JhQsXNGHCBEnS8uXLVbNmTe3atUvPP/+8qlWrdsngl5J6VqGh5hr/v9J8hOQTZyupJb7BZrv4BpqSelae5OHCdU4+cbbUbwyebutNpa2VFZVXrTx5vbJf+T9qdWkHUn6fHuZwOJzDuj+ezFRQUOW8P5v9NZiVlenR7Usd+q6//notWrRIc+bMUWam64OGhoZq9uzZ6tixY2kfQomJiVqwYIGGDRummTNnOpdZKejtKy4jI8M5nLxu3Trt3btXH3/8serVqydJat26tdLS0vTUU0/prrvuUlCQ69M3DJnuhVe4Pf/54YTLzm629pqFp//Lwrd1Z9tLzTcx4z50Jb7YZm8pa60qcp80G19ss7dQK1eFP+vK8lrw1raVwdP2lDr0SVL//v3Vo0cPbdu2TT/88IMyMzMVHh6u+Ph49erVSxEREaW+79WrV2v+/PmaMmWKS29h06ZNdfToUZdtjhw54lyn7/Dhw4qIiHAGvgJNmjRRVlaWTp486XKdL7Db7R59w0HFYaIwSqN4z73Zeg4A+K8yhT7p4lGzgwYNKo+2OO3atUtz587V9OnTNWrUKJfre/TooRdeeEHp6emKjr54EvNTp05pz549mjp1qiSpfv36ysjI0C+//OI88le6GAbtdnupFowGAE/0euGzIn8fXXy7Wi4uepviRx0CQEUp02nYsrOztXTpUr344otFLr/vvvv05JNPOhdK9oRhGJo3b54SEhLUt29fnTx5sshPZmamhg4dqqioKE2dOlVJSUlKSkrS1KlTVbt2bQ0ePFiSNHDgQFWrVk2TJ0/Wt99+q2PHjmndunVat26dBg0aVOLQLuCJ/clpzp+9SSe83Rz4IbvdrkPH03XoeDo9ggDKrNTJ5/z58xo2bJgOHDigO++8s8h16enpWrVqlb744gu9+eabHh0Nm5qaqsOHD0uSunXr5nL9hAkTNHHiROd8vyFDhshms6lz5856/fXXFRoaKuniAtF///vf9dxzz2ns2LE6f/686tWrp9GjR2v8+PGlfdqAEx/C8NTepBPsNwC8ptShb8WKFdq/f78kKSQkpMh1derU0YEDB3T48GEtX75ckydPdvt+Y2JilJSUdMXbxcbGavny5Ze9TatWrfTaa6+5/dgAUF6KD+1KF78oEPoAeEuph3ffeecd2Ww2zZ49W4899liR65YvX67HH39chmHoX//6V5kbCQC+7uji273dBMDyrH4Kt1L39P3000+qUqWK7rnnnhKvHzZsmBYtWqTU1NRSNw4AAKC8tI239incSt3TFxYWpuzs7EuGupSUFOXk5Djn2AEAAMB7St3T17ZtW+3YsUP33Xefxo4dq1atWik8PFy//vqr9u7dqxUrVshms6l169bl2V4AML2S5vMB8D53Dqban1z0TCAl9Q76qlKHvvvuu087d+7UsWPHNHv2bJfrDcOQzWbTyJEjy9RAAPB1zOcDzMGdg6n8+WCrUg/vdunSRbNmzVJQUJAMw3D5CQoK0iOPPKIePXqUZ3sBAABQCmVaofiee+5Rr1699O677+r7779XRkaGwsLCFB8fr/79+6tRo0bl1U4AAACUQZlPS1G3bl098MAD5dEWAPB5xefzfTCug8up1wDAG9wOfampqQoMDHSex9aTpVjq16/vecsAAABQbtwOfT179lT16tX1+eefO/+22WxX3M5ms2nfvn2lbyEAAADKzKPhXcMwLvs3AACAmdjtdpcFmK3K7dA3cOBAhYeHF/nbnZ4+AJfncDicK8DvT07z6+UC/F3x+XzbJnT1u9M4AfBdboe+RYsWXfZvAAAAmFep1+l7+OGH9ac//YkhXgAAAB9Q6iVbdu7cqdzcXIZ4AUCceg2A+ZW6p+/WW2/V+fPntW3btvJsDwD4hW0Tunq7CQBQRKl7+vr376/09HQ9/PDDuummm9SuXTtFRUUpIMA1Rw4cOLBMjQQAAEDZlDr0DR8+XNLFZVu2bNmiLVu2lHg7m81G6AOKKXxEp7eO7ix81PCBlDQFBXHUMAD4s1KHvsIHcHAwB+CZgrAF/8B8PgC+oNShb+HCheXZDgDwG8znA2BGpQp9u3fvVkpKis6ePasGDRro1ltvVcOGDcu7bYDf2p+c5vzd4XCobXyMF1sDALACj0Pf448/rrfeeqvIZcuWLdOsWbM0ZMiQcmsY4M846wYAoLJ5tGTL5s2btXbtWhmGUeQnNzdX8+bN0969eyuqnQBgSiWdeg0AzMij0Ldu3TpJUt26dfXEE09o+fLlmjx5siIjI5Wfn69//OMfFdJIAAAAlI1Hw7vff/+9bDabli1bprZt20qSevToobi4OP3xj3+kpw8AAMCkPOrpy8jIUNWqVZ2Br0CnTp2c1wMAAMB8PAp9+fn5qlq1qsvlBZfl5+eXT6sAwAcwnw+ALyn1uXcBAADgOzxesiU3N1e7d+8u8Swcl7ru+uuvL30LAQAAUGYeh75z5845z7tbmM1mK/E6m82mffv2lb6FAGBCnHoNgK/xOPRxnl0AcMV8PgBm51Hou+OOOyqqHSjG4XCU+DsAAEBpeBT6Fi5cWFHtQDEtm9b2dhMAAIAf4ehdAPAQ8/mAymW323X4x3QZhsG5y8vA4zl9qBz7k9OcvzscDrWNj/FiawBcDvP5APgCQp9J8U0G7nA4HM6pAPuT09hvAACXROgDIIfDoeIH5hMgAcC/EPr8HD1BcEebONfpA4eOp1/y9lber3o+z6nXAPgmQh8sjaVxAABWQeiDpbE0zkX/+eGEgoKs01sHAFZE6AMgu91O6AMAP0fog6WxNA480Xj6piJ/M58PgC8h9MHSrHQAAgDA2gh9wP/Y7fbLHrEKAIAvI/QBJlLSEcT0RppD8aVaAMDXEPoAEylpTiG9j+bEfD4AvobQ54dYew4AABRH6PNDrD3nXWUZot2bdILhXABAhSD0AeWsLEO0drvdtKHPyj3IvV5gPh8A30fo80OsPVf5Co78bd4w2ttNqTD0IP+O+XwAfBGhzw+ZtafICgoHbgAAzITQB5Qjfw7c9CADgG8L8HYDcGV2u12Hf0yXYRh+HSrKg8PhULMG0bLZbJabd1bRCuYbmnneYUUoPp/vo4kM7QLwTYQ+AAAACyD0AQAAWAChDwAAwAIIfQAqlcPhUPOG0WreMNr08y6Lz+c7sqivl1oCAGVH6AMAALAAlmwBfIyVz4wBACg9Qp+FlOWcsDAPzoxROcpy6jWCOQAzIvRZSFnOCQtYnSfr8xHMAZgRoQ/wMZwZAwBQGqYNfevWrVNiYqKOHTumqKgode3aVQ8//LBq1KghSTp48KAWL16sr7/+WpJ03XXXafr06WrWrFmR+3n//ff18ssvKyUlRbVq1dKgQYP04IMPKiDAesew7E06wXCuH+B/aH4lnYOZ/xsAbzNl8lm5cqVmz56tAQMGaMOGDZozZ4527NihiRMnyjAMpaena8SIEZKkNWvWKDExUYGBgRo5cqR+++035/1s2bJFU6dO1eDBg/X+++/r//7v/7R8+XK9+uqr3npqXlX8NFp8CAElK8t8PonXGgBzMl1Pn2EYWrFihQYOHKjRo0dLkmJjY/XQQw9p9uzZSkpK0tatW3X+/HktWbJEkZGRkqTFixere/fuWr16tcaNGydJevrppzVs2DDde++9kqQGDRooOjrauQ0A63A4HM65dvuT0zwKYtsmcL5dAL7PdKHPZrNp48aNCgwMLHJ5nTp1JEmZmZnauXOnEhISioS3yMhItWvXTp9++qnGjf7FJUUAACAASURBVBun/fv369ixY+rXr1+R++nRo0fFPwkAAACTMV3ok6SoqCiXy7Zt26bQ0FDFxcUpJSVFffr0cblNbGystm7dKknav3+/8/Jx48bpu+++U7Vq1XTPPfdoxIgRstlsJT62zXbxx2wK2uRp2wrf3qzPrTz54vMtS5uttm1ZlLXNpX0NWhG1ch+1cp83amX2zxRP22PK0FfcRx99pLVr12rSpEmKiIhQZmamwsLCXG4XHh6ujIwMSdKpU6ckSY8//rjGjBmjP/3pT/rwww+1cOFC5ebm6v777y/xsZrUjyrxvs2iSX3XQHw5hdcIaxoT5fdziwo/3yb1feP5luV/VF7belorb7W5LNx93MbTNxX5u/ip1zx9DVoZtXIftXJfZdbK7J+hmZmetcf0oe/999/XtGnT1K9fP+dcPXfk5uZKku69917dfvvtkqRWrVrp0KFDevXVVzVq1CiXIWRJSkk9q9BQ8y2marNd3NFTUs/KMNzfrvAOm3zibKV+wLZocnH+1IEUz+ZPlfVxC6SknlVQkLleoCUpy/+ovLb1tFbeanNZlPZxk0+clVT616AVUSv3USv3eaNW3nq/cldWVqZHtzd16EtMTNSCBQs0bNgwzZw50zkkW9DbV1xGRoZznl9ERIQk6eqrry5ym+uuu05btmzRTz/9pAYNGrjch2HI1C88T9tX+LaV+dys9rhlUZY2W23bsijt4xa/na/sV2ZArdxHrdznC+8blcXT9pg29K1evVrz58/XlClTNHbs2CLXNW3aVEePHnXZ5siRI851+ho3bixJ+vXXX4vcxvhfhcLDwyug1TATh8Ph8oIw27c0AAAqiynX6du1a5fmzp2r6dOnuwQ+6eIRuN9++63S038/hdipU6e0Z88e9ezZU9LFHr3Q0FB9+OGHRbbdvXu36tSpU+LBIvAvbeJi1LJp7SI/wOUUX5+PpVoA+BPThT7DMDRv3jwlJCSob9++OnnyZJGfzMxMDR06VFFRUZo6daqSkpKUlJSkqVOnqnbt2ho8eLAkKSQkROPHj9cbb7yhVatW6ejRo3rttde0bds2Pfjgg15+lgAAAJXLdMO7qampOnz4sCSpW7duLtdPmDBBEydOdM73GzJkiGw2mzp37qzXX39doaGhzts+8MADqlKliv72t79p4cKFqlevnubNm6c777yz0p6PLyvLYrZm8J8fTvjEgRwwv8KvhQMpaexXAHyS6UJfTEyMkpKSrni72NhYLV++/Iq3GzlypEaOHFkeTYOPsdvtfDjDbWU99RoAmJ3phncBwAyYzwfA35iupw8oPJS2N+mEy7Cyrw0zAwBgBoQ+mFrb+BiXyw4dTy/hlgAA4HIY3gVgecznA2AF9PTB1Eoa3gUqGvP5APgjQh9MzW63E/oAACgHDO8CAABYAD19KDcOh6PE3/31ceEfOPUaAKsg9KHceOvctpxTFwBQEex2u1+tGEHoA4AS0IMMwN8Q+lBu9ienOX93OBwlrrHnT48L3+VOiKMHGYC/IfSh3HjrKFuO7oWnCr4YxD66scjlzOcD4M8IfQBQAnqQAfgblmwBYDl7k04UCXUlKVgjkrUiAfgLQh8Ay7Hb7bpl+ZfebgYAVCpCHwCI+XwA/B9z+gAv87d1oAAA5kRPH/yK3W7X4R/TZRgG87AAACiE0AfAcpjPB8CKCH0ALI/5fACsgDl9fo75YkD5cjgcMoyilzGVAIAvIPQBgAfaxLku0swXKwC+gOFdAJbCqdcAWBU9fQDggf/8cEJBQQznAvA9hD4A8IDdbif0AfBJDO8CAABYAKEPgGUwnw+AlRH6AAAALIA5fSjC4XBc8fcCrE0GAIDvIPShiJZNa5d4edv40q9NRmCEGXDqNQBWR+hDhStLYET5ulLvrZV4Mp/Pbrfr8I/pahoTpeQTZ13OyAEAvoDQhyL2J6c5f3c4HM7AtjfpBL1zfuBSPbneUtG9wFYPtgBQGKEPRVzqA9dut5f6w5jAiEup6F7gwiG3+JG7AGA1hD5UuLIERpSvS/Xk+jsCHwAQ+gBLKRy+y2ueWlmGaCu6F7gg5BY/iOODcR0q7DEBwKwIfQDKpCxDtBXdC3y56QoAYDUszgwAAGAB9PQBfsJb6yGa/UCdXi98VuRvTr0GwKoIfYCf8NZ6iByoAwC+geFdAAAAC6CnD/ATZh9mBQB4F6EP8BMMs7piPh8A/I7hXQAAAAsg9AEAAFgAoQ+AXyo+tAsAVkfoA2AJzOcDYHWEPgAAAAsg9AHwGQ6HQ80bRqt5w+gSz0ACALg0Qh8Av8N8PgBwxTp9ACpc4V45b/TQMZ8PAAh9qCB2u71SzvsK39CyaW1vNwEALI/hXQAAAAugpw+XRG8dysv+5DTn7w6HQ23jYyrssZjPBwAlI/QBPsxXgrk3zwnMfD4AuIjhXQAAAAsg9AEAAFgAoQ+A3yg+n4+hXQD4HaEPAADAAjiQA4BP4jRsAOAZQh8Aj5nhqOGSln2JfXSjF1oCAL6B4V0AfqF44GM+HwAURU8fAJ+0N+lEkfX/bln+pRdbAwDmZ9qevnXr1mnAgAFKSEjQTTfdpFmzZun06dPO6w8ePKgxY8YoISFBCQkJGjt2rA4fPnzJ+zt69KjatWun4cOHV0bzAVQwu91e5AcAcHmmDH0rV67U7NmzNWDAAG3YsEFz5szRjh07NHHiRBmGofT0dI0YMUKStGbNGiUmJiowMFAjR47Ub7/95nJ/hmFo1qxZys3NreynAjc5HI4iP0ABd/YNTr0GAFdmuuFdwzC0YsUKDRw4UKNHj5YkxcbG6qGHHtLs2bOVlJSkrVu36vz581qyZIkiIyMlSYsXL1b37t21evVqjRs3rsh9rlmzRikpKerVq5fS081/yioratm0trebAJMqzb7BfD4AcGW6nj6bzaaNGzfqscceK3J5nTp1JEmZmZnauXOnEhISnIFPkiIjI9WuXTt9+umnRbb7+eef9fTTT2vmzJkKDQ2t+CcAAABgQqYLfZIUFRWliIiIIpdt27ZNoaGhiouLU0pKiho2bOiyXWxsrJKTk4tc9sQTT6hjx4669dZbK7TNKJv9yWnOn71JJ7zdHJgI+wYAlA/TDe+W5KOPPtLatWs1adIkRUREKDMzU2FhYS63Cw8PV0ZGhvPvd999V7t379bmzZvdfiyb7eKP2RS0yYxtKw/Bwb9PxC/8HEvz//D3WpUnb9TK0//vlfaNns+7zueriOfDfuU+auU+auU+auXK01qYPvS9//77mjZtmvr16+cyV+9yzpw5o/nz52vq1KnOoWF3NKkfVWKgNIsm9aO83YQKV3iyftOYqFIfmWmFWpWXyqxVWf6/7mx7ZFHfsjXwCtiv3Eet3Eet3EetfpeZ6dnno6lDX2JiohYsWKBhw4Zp5syZsv0v0hb09hWXkZHhnOc3b948tWjRQkOGDPHoMVNSzyo01HxHj9psF3f0lNSzMgxvt6ZiFf5gTz5x1uPQZ6ValZU3alWW/6872yafOFu2Bl4C+5X7qJX7qJX7qJWrrCzXLHQ5pg19q1ev1vz58zVlyhSNHTu2yHVNmzbV0aNHXbY5cuSImjVrJknavHmzAgIC1Lp1a+f1+fn5MgxDrVq10oIFCzRw4ECX+zAMmXpnMnv7ykPh51eW52uFWpWXyqxVWf6/7mxb0c+D/cp91Mp91Mp91Op3ntbBlKFv165dmjt3rqZPn65Ro0a5XN+jRw+98MILSk9PV3R0tCTp1KlT2rNnj6ZOnSpJeu+991y2W7p0qX755RctXLhQdevWrdDnAKDiFV+fj6VaAODSTBf6DMPQvHnzlJCQoL59++rkyZNFrg8NDdXQoUP1j3/8Q1OnTtUjjzwiSVq4cKFq166twYMHS5Li4uJc7rtatWrKyMgo8TqYh91u16HjrKcIAEB5Ml3oS01NdZ5OrVu3bi7XT5gwQRMnTnTO9xsyZIhsNps6d+6s119/nbX4AAAASmC60BcTE6OkpKQr3i42NlbLly/36L4XLVpU2mYBAAD4NFMuzgwAV3LL8i+L/M18PgC4PEIfAACABRD6AAAALIDQB8DnxD660dtNAACfQ+gD4POYzwcAV0boAwAAsABCHwAAgAWYbp0+AP6trGdcYT4fAJQOPX0AfBrz+QDAPYQ+AAAACyD0AQAAWAChD4DPYmgXANzHgRwAfMrRxbdLkvYnp3m5JQDgW+jpAwAAsABCHwAAgAUQ+gAAACyA0AcAAGABhD4AAAALIPQBAABYAKEPAADAAgh9AAAAFkDoAwAAsABCHwAAgAUQ+gAAACyA0AcAAGABhD4AAAALIPQBAABYAKEPAADAAgh9AAAAFkDoAwAAsABCHwAAgAUQ+gAAACyA0AcAAGABhD4AAAALIPQBAABYAKEPAADAAgh9AAAAFkDoAwAAsIAgbzcAANxlt9t16Hi6t5sBAD6Jnj4AAAALIPQBAABYAKEPAADAAgh9AAAAFkDoAwAAsABCHwAAgAUQ+gAAACyA0AcAAGABhD4AAAALIPQBAABYAKEPAADAAgh9AAAAFkDoAwAAsABCHwAAgAUQ+gAAACyA0AcAAGABQd5ugBkYhuH8PSsry4stuTSbTcrMtCsrK1OFmosSUCv3USv3USv3USv3USv3UStXhTOL4UZRCH0qWrROCXFebAkAAIDnsrKyFB4eftnbMLwLAABgATbDnf5AP5efn69Tp05JkkJDQ2Wz2bzcIgAAgMszDMM5WlmzZk0FBFy+L4/QBwAAYAEM7wIAAFgAoQ8AAMACCH0AAPiY/Px8bzcBPojQZxFM3QS8i9cgyurcuXOaPXu2JF1xwr7VFQ7FvPZ+x17jpzIzM3XmzBllZWXJMAzZbDa+GaLMfv31V6Wmpur48ePeborpnT59WocPH9a+ffuUl5fHaxBlcu7cOd1999166623lJiYKIkwcylZWVmaNGmSPvnkE0mSzWajVv/D4sx+6LvvvtMLL7yglJQURUREqHv37powYYLsdrszAOKi//73v1q7dq1OnDihhg0bqmfPnurSpYuCgnhpFPf1119r8eLFOnbsmDp37qzp06erTp063m6WKX3zzTd68skn9csvvyg3N1ddunTR4sWLFRwc7O2mmc6xY8cUHh6u6tWre7sppnXu3DnddtttateunVq1aqWDBw9KEu/ll7Bp0yZt2bJFqampysvLU8+ePZ3Bz+o1C/zzn//8Z283AuVn7969Gjt2rK6//nrdcMMNSk1N1c6dO5Wbm6vrrrvO8jt8Yd98841GjBihmJgYRUZG6osvvtCOHTt08OBBdevWTYGBgd5uomns27dPo0aNUr9+/TR48GB17NhRjRs3LlIj3lAv2rt3r+677z7ddtttGjJkiKpUqaLt27eratWqat++vbebZyrJycm65ZZbtG/fPnXv3l0hISHebpLpnDt3TrfffrvatWun559/XpL01ltv6dZbb1VISAivuRJkZGTogw8+UFxcnHbu3KmaNWuqSZMmBD/R0+dXzp07p6VLl2rIkCGaPHmyJGnw4MEaN26ctm7dqgcffNDLLTSP3377TYsXL9bw4cM1depUSRfr9/zzz2vDhg06c+aMli5davmemYIhkQ8++EB9+/bVpEmTnNcdP35cZ8+eVUREhBo2bKjAwEDl5eVZOixnZmbqxRdf1IgRI/Twww9Lkv7whz/oq6++UmpqapHb5ufnW35eVlpamiIjI7Vnzx5NnjxZzz77LD1+hZw7d069e/dWx44d9dxzz0m6uADvqVOnlJaWppo1a1o+xJSkZcuWqlu3rpo3b66kpCQ9//zzstlsuvHGGy1fK2u/4/ih1NRUNW7cWJKUm5ur0NBQjRw5Uvv27VNycrJ3G2ciDodDaWlpuuqqqyRJOTk5Cg8P1+TJk9WhQwd99NFHmjZtmnJycrzcUu+y2Wyy2Wz68ccfdfr0aeflzz//vMaMGaOhQ4dq2LBheuCBB3T+/HkFBgZaet6aYRhKTU1VkyZNJEkXLlyQzWZTx44dFRsbqzfeeEOrV69WZmamAgICLD/PaPfu3YqNjdXcuXO1f/9+TZs2TWfOnPF2s0whPz9ff/nLX9SpUydn4JOka665Rq1bt1ZiYqJzrih+V/BlKjQ0VG3atNGUKVNUvXp1LVu2TJ999pmki1NVMjMzvdxS7yD0+ZHc3FwdOXJEv/zyiyQ556VFRUXxAVNMbm6uTp486axVcHCwcnJyVKVKFXXp0kWtW7fWyZMn9eKLL1q6boZhKD8/X9WrV3ee6ufNN9/U22+/rTFjxmj58uW6/fbb9d1332n48OHKycmxdO+Vw+HQoUOHlJaWJkmqWrWqDhw4oPXr12vjxo166aWX9Je//EX9+/fXsWPHLD/BPDs7W82aNVOfPn30yCOPaO/evZo6dSrBTxePzr3nnnv07LPPOi8r2FcSEhJ04MAB5eXlSWL5lsICAgIUERGhhIQEffjhh2rRooWGDx+uWrVqadmyZbr77ru1ZMkS5ebmWvK1x5w+P2K323XhwgVdc801io2NdV7+448/avPmzbr//vsVHh7uMhyQn59vuW+LwcHBOnTokN577z01btxYzZo1cw5LfvbZZ6pZs6bq16+vL7/8UjfddJNCQ0O93GLvKOjpq1Gjhp599llFR0eratWq6ty5swYNGqRGjRqpQ4cOioqK0r/+9S9lZmaqS5cu3m6214SEhCg8PFzdunVTzZo1df78eY0cOVK9e/fW7NmzNW7cOLVs2VKffPKJPv/8cw0cONDSw+ExMTGKiorSVVddpdjYWMXExGjdunX67rvvdMMNNygkJMTSw5dRUVGSpLy8PAUEBDjr0LhxY73yyiu6cOGCOnfubNn6SK6fXwX7y8GDB7Vz504NGzZMjRs3VtOmTfXmm2/q2LFjuvfee9WpUydLzvEj9Pmw48ePKykpSd9++61q1qyp0NBQdevWTbGxsUV25GPHjumdd97R8OHDFRYW5uyJmT9/vjp16mSJI1WL1yo8PFx169bVl19+qQ8++MA5d2/79u1atGiRHn/8cQ0YMEDPPPOMGjZsqJYtW3r5GVSegn0nNzdXAQEBRXr6Vq5cqS+++ELdunVTixYtlJubq+DgYLVp00Y7duxQWlqaBgwYYJk30SNHjmjXrl365JNPFB4errCwMF133XWqWbOm8vLyFBwcrJ49e6pfv34KCQlRUFCQYmNjdfLkSe3cuVO33XabIiMjvf00KkVycrK2bt3qfL2Fhoaqbt26atq0qaSLX8QaNWpUJPh169bN+YXrpZdeUvv27f06JGdmZuqpp57SP//5T7333nvKy8tTzZo1FRYW5gx+hmGoSpUqOnv2rHbs2KGrr77akkfRZ2dnKy8vT3a73VmbAjabTZGRkdqwYYN69+6t8PBwPffcczp48KDi4+N16NAhRUZGqlmzZpZ5ryrg/5/2fuqrr77StGnTFBISop9//lkhISEaOHCghgwZokaNGhUJfTk5OQoODlZwcLDzhfHHP/5Ru3fv1qOPPurNp1EpiteqatWqGjRokB544AE99dRTWrp0qZ588kmFhYUpJydH8+bNU6tWrSRd/EadnZ3t5WdQefbs2aPly5dryZIlCg0NVW5uroKCghQQEKCBAwcqNTVV27dvV0pKiiQpMDDQua9dffXVzqUkrODrr7927ldHjx7Vyy+/rPHjx+uee+5RSEiIMzDHxMRIujjs5HA4ZLfb1aBBAzVo0EDh4eFefhaVY/fu3Zo4caJq1Kiho0ePatWqVfq///s/jRw5UtLvS4+Ehoaqd+/eMgxDCxYs0KOPPqqnnnpKM2bM0KFDhzRu3DhvPo0Kde7cOQ0cOFD16tVTfHy8vvvuOy1atEjNmjXTvHnz1LhxY+eBUsHBwbrlllv01ltvafPmzYqLi1OVKlW8/RQqTXZ2tnr37q2QkBC9/fbbCgkJcdamYF+qVq2aLly4oNTUVL3yyivasWOH1qxZo9OnT+uZZ55RYmKiunTporCwMC8/m0pmwOccPHjQ6NChg/HXv/7VOHr0qJGenm7MmDHD6Nq1q3H33XcbSUlJhmEYRm5urmEYhrFp0yYjISHBuf2YMWOMPn36GDk5OUVu548uVavOnTsbQ4YMMY4fP+683Xfffef82zAMIzs72xg8eLCxadMmbzW/0uTn5xs5OTnG0KFDjfj4eOO+++4zMjMzDcMwnPuJYRjG7t27jdGjRxvx8fHGiy++aGRkZBi5ublGdna2cffddxuzZ8/21lOoVIcOHTK6du1qrFy50vjpp5+MX3/91fjjH/9odOjQwTh48KBhGBdrWiA9Pd35e3Z2tjF69GjjkUceKXIbf5WUlGR06dLFWLFihXHy5EkjOzvbGDdunNG7d+9LPv+MjAzjnXfeMTp27Gi0aNHCuOWWW5z7YV5eXmU2v1Lk5eUZjzzyiDF27Ngil//1r381evfubXTt2tU4dOiQYRiG4XA4nHVbvny5cfXVVxurVq2q9DZ705EjR4xOnToZbdq0Me644w4jKyvLMIzfP8sK9pGJEyca7dq1M3r27Gn85z//cW7/1VdfGampqZXfcBNgeNcHbdmyRadPn9bjjz+uatWqKTQ0VL169VJAQIC+/PJLbdu2Tddff71q1qwpSTp16pQ+/PBD9enTR1OmTNHx48e1ceNG2e12Z0+Ov7pUrQIDA/XFF19oy5YtuuaaaxQXF6c6deooOztbu3fv1v79+/X0008rIyNDjz32mN8fnFBwtojXXntNrVu3VlJSkj777DPdcsstqlq1qnJychQYGKj69esrLi5OhmHo//2//6ft27dr48aNeuedd3Tu3Dm99NJLRXr//NWHH36otLQ0zZgxQxEREQoJCVGXLl20Zs0aVa1aVR07dpQk55HPixcv1r///W99++23Wr58uU6fPq1XX33VErXasGGDAgICNH36dOeIQ1BQkPbs2aO77rrLebuCfdD43/BlgwYNtGHDBjVp0kTr1q1zvl/56/DuqlWrlJCQoA4dOjhfb9dcc41q1qypPXv2aM2aNerZs6dq1KjhPEK1WbNm+uGHH/Tuu+9qyJAhllli6vPPP9fOnTs1ceJEffzxx9qyZYv69++v4ODgIstGHTp0SD/88INefvlltW7d2vlaq1+/viIiIrz8LLzDvz/J/NTRo0f1448/Ot88C5YVGTVqlMaMGaPs7GzNmzfPuS5YgwYN5HA4dNddd1kq8EmXr9UDDzygCxcuaP78+Tpx4oQk6cSJE3rkkUe0dOlSSRcXQS1Yf87fFdRp7ty5uu+++3Tw4EGNGzdOWVlZzqObpYtrYM2YMUOrV692BuYbb7xRb7/9tnO/8ucQI0mHDx/W0aNHnfP0DMNQSEiIoqKilJ6eLun3IUvDMBQaGqpNmzbpq6++UoMGDfT2228rKCjIErU6cOCAjh49qoCAAOf7zYULFxQREaHJkyfrzjvvdJ7pJSAgwDlvbfz48bLb7UpMTHTWyp/fr06fPu1cVis4OFi5ubmSpFtvvVV/+tOfFB4erscee0ynTp1yhpqoqCg98sgjevvtty0zVUC6OPcxNjZWQ4cO1aRJk3TixAndc889zmWjHA6HJGnixInasGGDc7qOv7/W3EFPnw/Ky8vT5s2bVadOHcXHxyswMNA56b5169bKzs7W1q1bFR4ernbt2slut2vPnj2Kjo7Wm2++aZnAJ3lWq2uvvVa1atVSr169dNddd2nYsGHO21uhVkFBQdq+fbtuueUWderUSfn5+dq+fbs+//xzlx4/u92uevXqqUePHurZs6euvfZaBQQEKC8vzxK1OnbsmL755hvdfPPNCg8Pl81mk91u1+bNm1W1alXdfPPNzqMKIyMj1bNnTw0dOlR33nmnevfurYCAAMvsVwcPHlRqaqpuueUWValSRYcPH9bo0aPVokULNW/eXMHBwfrwww914MABde7cWaGhofriiy/0ySef6K233nIGIH+tVUHv07lz55zvVXFxcc59JCAgQM2bN1deXp4+/vhj1atXT61atXJeFx0dbanAJ0kNGzaUYRhKSEhQ8+bNVaNGDf3rX//Shx9+qP79+6tKlSrKzs5WUFCQc86eFVepKAmhzwcFBQVp27ZtSk5OVlxcnGrXrl3kDeKaa67R3r17tWPHDo0YMUJVqlRRs2bNNGbMGEt8Yy7Mk1rde++9CggIUPXq1RUREeEcbvLX4aTiqlSpohtuuEG1a9dWUFCQ2rZtW2LwK3DmzBmXpWz8fRi8QHR0tG699VbnqZ0KPkz++c9/qm7durrxxhuLHFH4yy+/qHr16s59yTAMy+xXdevWVe/evVWrVi3l5ubq3//+t+Lj4zVr1ix17dpVN998szIzM7VhwwZ169ZNDRo0UK1atTRs2DBLvF8V7Dvh4eHavn27kpKSnMvXFH6vat++vbZt26YjR46of//+lnmtFZefn6+qVauqTZs2ki4uVda8eXNVr17dGfwKjpaXLp6HNyoqynLB+FIIfT7GMAxFRkaqadOmeuWVV3TmzBnnN52AgABnT0zdunX1xhtvOD/EC8KOlUKMp7Xq0aOHatasWeTboNW+GRacyzM/P192u90l+N1+++0KDAzUn/70J/3444/OuWtWUrBf1ahRo8hlDodDf/vb39SqVSt17tzZ+aE8fvx47d27V7169XLe3ir7lWEYioqKUmRkpDPoNm7cWJ07d3ZOmyjodX/11VeVkJCg1q1bKygoyLmGmlXer2rWrKlGjRpp5cqV+vHHH9WwYUPVr1+/yHvVsWPHlJqaqjvuuMPbzfWagtdOwZetgveqwsFv69atuvvuu/XKK6/o2Wef1Z133mmZpZGuxH+/PvmpgjfCzp076+mnn9ajjz6q/Px8jRs3Tu3atXNO5M3Ly1P9+vUVHR1dZHsrfTv0tFaRkZGW+TC+lILnX/AFoUqVKho9erQMw9Cq2orADgAADtBJREFUVav0wAMPKCAgQCkpKXrmmWe83FrvKGkfKbis8IEGhmFo3LhxSklJ0ebNmyu1jWZR0heowgcbFNTqp59+UmxsrBo2bHjJ7f2dYRjq3r27li5dqkmTJmnJkiUaMWKEbr31VmfNfvnlF9WpU8dlsWYrK7x2Yb9+/SRJy5YtU7t27ZzvW8X3Kyujp8/kSpqHUPB3XFycmjRpotdee00//PCDHA6HWrRooZMnT2rp0qWqUqWK7rnnHsu8MVAr97kzv6Xwt+hrr71WeXl5WrdunaKjo7Vhwwbn3FB//yLh7lygwMBAvfvuu2revLmuv/563X///Tp+/Lg2bdpErYo5fvy4fvrpJ9WsWVNpaWlatGiR7Ha7HnroIb+v0ZU0a9ZMrVu31pYtW/Txxx/r0KFD+vnnn7V+/Xpt2rRJixYtchmRsLqC96rg4GC1bt1aO3bs0JkzZ/Tmm29aamF9d9gMw4Inn/MRBRN8c3JylJ6erjp16pS4vMPu3bv1zDPP6PDhw8rPz1fdunVVtWpVrVmzRna73Xl4vz+jVu5zt1bF3X///Tpz5ozeeustS8y1kjyv1fDhwxUdHa2AgADt37/fUkfKu1urzMxMLVq0SB988IGqVaumatWqSZLWrl3rPLuCvw7pXun9peDj2Gaz6cCBA9q6davee+89hYWFqXr16po6dapatGhRWc31qtK+Fy9dulR/+9vftGbNGsvUyhOEPpPLy8vT3Xffrfbt22vWrFku1xe8ME6fPq0zZ85o3759qlOnjq6//npLHXkqUStPXKlWxU2bNk1ffvmltm7dapkQU8CdWhWEm5deeknLli1Tq1atLHekvOT+fvX999/riy++0G+//aaGDRvqjjvu8PvXYOEw+/333ztPB3mlM0Lk5+crLy/POd3CCkpbq++//16TJ0/W008/rbZt21ZGU32Of766/EhgYKCuvfZaffLJJ0pJSVGTJk2KXF/wTahGjRqqUaOGrrrqKud1Vlk+owC1ct+ValVYRkaG2rdvr4ULF1qmh68wd2pV0Jt14403av/+/Xruueeo1SVqZRiGWrdurdatWxe53J9fg4UPSJkxY4Z27dql7OxsDRw4UEOHDlWjRo1K3K7gi6q/jz4UVtpaSReXclmzZo3LXHb8jjl9PiAgIECbNm1S27Zt1axZM7fnzVjpjaIAtXKfu7WqUqWK2rZta6l1+Ipzp1b5+fmqXbu2brvtNkutw1fclWpVeNHqwpf762uw8DDlY489pr179zrPIfzPf/5Tp0+f1lVXXVViULHavL2y1Eq6+F5VsFQLSkboM5HC63pJv78pNmrUSAcOHNB7772nQYMGWeZUO5dDrdxXnrXy1w/mAmWpVfEPaGp1+f3KKoGm4HlmZ2drz549mjJlirp166Y+ffrI4XDo7bff1qlTp5xLjlgZtap4hD4TCQgIUFZWlp544gnVrl1bdrvd+a2lTp06+uyzz1S3bl01bdrU8quLUyv3USv3USv3USv3LViwQFOnTlV+fr7+8Ic/KCoqSpLUqVMnXbhwQevXr79iL5ZVUKuKRegziYJvye+8845WrVql9evXa8+ePbLb7WrcuLHq16+vTz/9VElJSbrtttss/QZKrdxHrdxHrdxHrS6veC/ohQsXdPDgQf3www/q1q2bGjVq5LxNp06dlJOTo3fffVfJyclq06aNM+hYAbWqXIQ+Lyu+yGbLli01duxYhYSE6OTJk3rllVf05ZdfKjs7W/3799ff//53XXXVVZZcbJJauY9auY9auY9auacgxKxfv17VqlVT+/btVff/t3f/oVXVfxzHn/fubrp7Ydc7LG/ZZT9Qr9tMKjVrapHNRCk3Fpks7J8i1uqPQspAsAaFIUnBLFeK+IfBSGGhaIs5ycvmbLJWBE22hq0l2zBvrq73jrbd8/1j391v+8b36yfcdsa9r8dfl7nJuU8ul/c993M+x++nvb2d5uZm1q5dS3Z29qRhJhwOc/78eZ555pmUumWYWs0sbdlio4mF3rFYjBMnThCLxViwYAGbNm0Cxtc1dHZ28tlnn3H+/Hlg/FPQs88+S1VVVUrsKTdBrcyplTm1MqdW/0woFOKFF17gqaee4qWXXsLv93Pu3Dmqq6txu93s37+f3NzcSduThMPhlFyrplYzR2f6bDJxFWQkEmHbtm10d3cTCoUIhUKEw2GKi4txuVz4/X7WrVvH1q1bGR4eJhqNcu7cOTZt2pQy9xJUK3NqZU6tzKnVP5eTk0NmZiaHDh0iEolQWFjIsmXLyM3N5cyZMzQ2NrJmzRp8Pl/iLFaqXnmqVjPIkhkVj8cTj2OxmPX4449bL7/8smVZlnXlyhWrpKTECgaD1rvvvpv4vT///DPxuLOz03riiSes5ubmmTtom6iVObUyp1bm1Orm4vG4NTo6OulnIyMjiccHDx60gsGgtWvXLqu/v9+yLMv66quvrA0bNlhr1661ent7Z/R47aRW9kudc+02GxoaSlzBFo/HAWhqaiIej1NTUwPAvn37cDqdPPbYYxw9epQPPvgAIHF7MIClS5cSi8Voa2uz54nMALUyp1bm1MqcWt3c6OgoML7NyMRXju+//z6XL1/G5XIxNjYGwPPPP89rr73G8ePH+fDDD+nv7+fhhx/m9ddfx+fzpcRFLmo1e6TezqE2+P7773nnnXfYunUrpaWliRd9T08PaWlpRKNR9uzZQ1dXF3V1dUQiETo7O6mtraWvrw+AiooK7rnnHtLS0vD7/fj9fjuf0rRRK3NqZU6tzKnVzUUiEcrLyykrK6OqqgqA1tZWjhw5wpkzZ6itrSUQCCTWoD333HP8/vvvfPLJJ2RmZrJ9+3ZKSkooLi7G7Xbb/Gyml1rNLlrTN82Gh4fZvXs3Fy9eZGRkBIDFixfjdDrJyMhg8+bNDAwMcPToUXbv3s2iRYvwer2JLRG6u7u5du0ar776Ki6Xi4aGBg4fPswbb7yRdHsUqZU5tTKnVubU6uYikQilpaVcu3aNlpYW5syZw4oVKwgEAni9Xtrb2zl9+jTr1q3D5/MxOjqK0+lk/vz5NDY20traimVZrFmzJunvpatWs4/O9E2zuXPnUlpaSktLC5cuXSIWi+FwONi8eTP33nsvAMeOHePKlSuTFjr39fVRXFzM3r178Xq9ids6FRYW0tjYmJRbIKiVObUyp1bm1Or/i8fjvPnmm6xcuZKqqipqa2vZt28fY2NjVFZWUlFRAcChQ4eorKzkwIED5OTkAONty8vLyc/Pp6ioKHEGNVmp1eykM33TaOLTbyAQYHBwkNzcXAYHB2lvbycrK4tFixbhcDjo7e3l9OnTrFq1itzcXJxOJ/X19axatYqioiIcDkfi6jmv15uUV8GplTm1MqdW5tTq5hwOB0VFRTz55JPMmzePvLw8otEoR44cweVysXLlSu6++27S09O5ePEip06dori4mMzMTD799FO+++47duzYwfz58+1+KtNOrWYnDX3TaGLRaXp6Oh0dHXR1dbF3716+/vprQqEQXq+X/Px88vLyuHz5Mh999BHffPMNhw8fZmhoiJ07dyb2tUr2/a3UypxamVMrc2plJisrK/E4Ozub/Px8bty48bdhZs6cOXR0dHDgwAGamppobW3lvffeY8GCBTYe/cxSq9lHQ98Um1iTMHHl28SeQvfddx81NTW43W527drFl19+yYULF/B6vRQUFLB69Wo8Hg/hcJhgMMj+/fsTVzUl6xuoWplTK3NqZU6tbp3P55s0zGRkZLBixQqWLVtGMBjkrrvu4vbbb6e6uprFixfbfbi2UqtZwJ6dYpLTDz/8YL399ttWZ2fnpJ9P7FtVU1NjlZeXWzdu3LDC4bC1bds2a8uWLdapU6cSexfFYrHE3/11/6Jko1bm1MqcWplTq6nV09Nj7dy50woGg1Z9ff2kfxsbG7PpqGYntbKPzvRNkf7+frZv386FCxeor68nHA4TDodZunRpYhGqx+Ph4MGDZGdns3r1atavX09TUxNtbW24XC4KCgpIT08HxtfXJOviVbUyp1bm1MqcWk09n89HXl4e3d3dDAwM8Mgjj+BwOBJnPrXH3H+olX009E2RkZER+vv7SUtLw+12Mzo6SkNDA42NjTgcDu68804CgQDRaJTPP/+cBx54gIULF/Loo49SV1eHZVls2LAh8f8l84tercyplTm1MqdWU2vi6/Hs7GwuXbpEV1cXTz/9dGIQTvU+f6VW9tLQN0UyMzNZvnw5P//8M9FolDvuuINXXnmFjo4OTp48yfHjx/F4PLhcLvr6+li4cCFLlixh7ty5lJWVsXHjxpRZC6NW5tTKnFqZU6updfXqVTweDwBnz54lLS2NkpISXC7tivbf1MpeGvqmkNvtpqCggJ9++omOjg7mzZvHW2+9xfLly/n111+pq6vjt99+49tvvyUcDlNWVobD4SAjIwOn05lSi6DVypxamVMrc2o1Ndra2qioqKClpYUvvviCUCjEnj17ku4uJFNBreynoW+KeTweCgsLGRgYoKGhgevXryc+Gefl5ZGenk5vby8//vgjOTk5BIPBxN+m2huoWplTK3NqZU6tbl08Hmd4eJhYLEYgEKC6upolS5bYfVizklrZz2FZlmX3QSSjq1ev8vHHH9Pa2sr69evZsWMHMP6i/+WXXzhx4gQvvvhiyi9+BrX6J9TKnFqZU6tbNzY2NuliBPnf1Mo+OtM3TTweDwUFBQwODtLc3Mzg4CAPPvggDocDr9fL/fffr69I/k2tzKmVObUyp1a3zul06iIEQ2plHw190+ivb6QtLS309PTw0EMPTfodvYGOUytzamVOrcyplUjy0+Uy0+y2226jsrKSP/74g6GhocT9LeXv1MqcWplTK3NqJZLctKZvhly/fp2srCycTqfeSG9CrcyplTm1MqdWIslJQ98Mi8fj+orEkFqZUytzamVOrUSSi4Y+ERERkRSgj3AiIiIiKUBDn4iIiEgK0NAnIiIikgI09ImIiIikAA19IiIiIilAQ5+IiIhICtDQJyIiIpICNPSJiIiIpAANfSIiIiIp4F8KLK4uIVte5AAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 800x575 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 800x575 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "two_points  = [('2016-05-19',203.5),('2016-05-25',209.5)]\n",
    "\n",
    "more_points = [('2016-05-02',207),('2016-05-06',204),('2016-05-10',208.5),('2016-05-19',203.5),\n",
    "               ('2016-05-25',209.5), ('2016-06-08',212),('2016-06-16',207.5)]\n",
    "\n",
    "mpf.plot(df,alines=two_points )\n",
    "mpf.plot(df,alines=more_points)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---\n",
    "\n",
    "---\n",
    "\n",
    "**An \"arbitrary line\" (`alines`) may be a sequence of points, or a sequence of sequences of points.<br><br>The difference is whether it is treated as one (possibly discontinuous) line,<br> or as multiple lines (each of which may be discontinuous).<br><br>If we specify a _sequence of sequences_ of points, then each _subsequence_ is treated as a separate line.<br><br>Below we see the exact same points as a<br>&nbsp;&nbsp;&nbsp;1. sequence of points<br>&nbsp;&nbsp;&nbsp;2. sequence of sequences<br>&nbsp;&nbsp;&nbsp;3. sequence of sequences, where the end point of each subsequence is repeated as the beginning point of the next subsequence.**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 800x575 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 800x575 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 800x575 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "seq_of_points=[('2016-05-02',207),('2016-05-06',204),\n",
    "               ('2016-05-10',208.5),('2016-05-19',203.5),('2016-05-25',209.5),\n",
    "               ('2016-06-08',212),('2016-06-16',207.5)]\n",
    "\n",
    "seq_of_seq_of_points=[\n",
    "    [('2016-05-02',207),('2016-05-06',204)],\n",
    "    [('2016-05-10',208.5),('2016-05-19',203.5),('2016-05-25',209.5)],\n",
    "    [('2016-06-08',212),('2016-06-16',207.5)]\n",
    "                     ]\n",
    "\n",
    "seq_of_seq_repeat_point_in_between=[\n",
    "    [('2016-05-02',207),('2016-05-06',204)],\n",
    "    [('2016-05-06',204),('2016-05-10',208.5),('2016-05-19',203.5),('2016-05-25',209.5)],\n",
    "    [('2016-05-25',209.5),('2016-06-08',212),('2016-06-16',207.5)]\n",
    "                     ]\n",
    "\n",
    "mpf.plot(df,alines=dict(alines=seq_of_points                     ,colors=['b','r','c','k','g']))\n",
    "mpf.plot(df,alines=dict(alines=seq_of_seq_of_points              ,colors=['b','r','c','k','g']))\n",
    "mpf.plot(df,alines=dict(alines=seq_of_seq_repeat_point_in_between,colors=['b','r','c','k','g']))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---\n",
    "**As we saw above, any lines (`hlines`,`vlines`,`alines`,`tlines`) may be made thicker and/or transparent:**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x718.75 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mpf.plot(df,\n",
    "         type='candle',\n",
    "         alines=dict(alines=seq_of_seq_repeat_point_in_between,\n",
    "                     colors=['b','r','c'],\n",
    "                     linewidths=40,\n",
    "                     alpha=0.35),\n",
    "         figscale=1.25\n",
    "        )"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---\n",
    "\n",
    "## tlines (trend lines)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---\n",
    "\n",
    "---\n",
    "\n",
    "### Use `tlines` to specify _only_ 'dates' or 'times' and mplfinance will<br> determine and draw a \"trend line\" between those two dates (or times).**\n",
    "\n",
    "---\n",
    "\n",
    "**When `tlines` is a dict, you may also specify:**\n",
    "\n",
    "\n",
    "- **`tline_use` to indicate whether to use the 'open','high','low', or 'close', _or an average of any combination of ohlc_ for determining the trend line.**\n",
    "\n",
    "\n",
    "- **`tline_method` to indicate whether to simply draw the trend line from point-to-point (the default method) or to use a \"linear least squares fit\" to determine the trend line.**\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---\n",
    "\n",
    "\n",
    "**As an example, using the same _dates_ from the above arbitrary lines example, we can ask mplfinance to display trend lines:**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['2016-05-02',\n",
       " '2016-05-06',\n",
       " '2016-05-10',\n",
       " '2016-05-19',\n",
       " '2016-05-25',\n",
       " '2016-06-08',\n",
       " '2016-06-16']"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# grab the dates from the sequence of date,price points:\n",
    "dates = [d for d,p in seq_of_points]\n",
    "dates"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[('2016-05-02', '2016-05-06'),\n",
       " ('2016-05-06', '2016-05-10'),\n",
       " ('2016-05-10', '2016-05-19'),\n",
       " ('2016-05-19', '2016-05-25'),\n",
       " ('2016-05-25', '2016-06-08'),\n",
       " ('2016-06-08', '2016-06-16')]"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# now generate a sequence of date pairs:\n",
    "datepairs = [(d1,d2) for d1,d2 in zip(dates,dates[1:])]\n",
    "datepairs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 800x575 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mpf.plot(df,tlines=datepairs)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---\n",
    "\n",
    "\n",
    "**Using the same _date pairs_ as above, we can display trend lines using the 'high', the 'low', or the average of the 'open' and 'close':**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 800x575 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 800x575 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 800x575 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mpf.plot(df,tlines=dict(tlines=datepairs,tline_use='high'))\n",
    "mpf.plot(df,tlines=dict(tlines=datepairs,tline_use='low'))\n",
    "mpf.plot(df,tlines=dict(tlines=datepairs,tline_use=['open','close']))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---\n",
    "\n",
    "**We can combine `tlines` `dict`s into a `list`, to display different trend lines on the same plot:**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x776.25 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mpf.plot(df,tlines=[dict(tlines=datepairs,tline_use='high',colors='g'),\n",
    "                    dict(tlines=datepairs,tline_use='low',colors='b'),\n",
    "                    dict(tlines=datepairs,tline_use=['open','close'],colors='r')],\n",
    "         figscale=1.35\n",
    "        )"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---\n",
    "\n",
    "**Now compare using point-to-point versus least-squares:**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1064x764.75 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mpf.plot(df,tlines=[dict(tlines=datepairs,colors='b',tline_method='point-to-point'),\n",
    "                    dict(tlines=datepairs,colors='r',tline_method='least-squares')\n",
    "                   ],\n",
    "         figscale=1.33\n",
    "        )"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---\n",
    "\n",
    "**Try using least-squares for the entire data set, taking the average of ohlc, and alternatively the low, for the values to be used in the least squares regression:**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1064x764.75 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "d1 = df.index[ 0]\n",
    "d2 = df.index[-1]\n",
    "tdates = [(d1,d2)]\n",
    "mpf.plot(df,tlines=\n",
    "         [dict(tlines=tdates,tline_use=['open','close','high','low'],tline_method='least-squares',colors='r'),\n",
    "          dict(tlines=tdates,tline_use=['low'],tline_method='least-squares',colors='b'),\n",
    "          dict(tlines=tdates,tline_use=['low'],tline_method='point-to-point',colors='g')\n",
    "         ],\n",
    "         figscale=1.33\n",
    "        )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
